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Finding the Third Proportional to 16,975.50 and 37,296

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Solution

The third proportional to 16,975.50 and 37,296 is: 81,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975.50 : 37,296 = 37,296 : x
  2. Step 2: Convert to fraction form
    16,975.50/37,296 = 37,296/x
  3. Step 3: Cross multiply
    16,975.50x = 37,296 × 37,296
  4. Step 4: Simplify right side
    16,975.50x = 1,390,991,616
  5. Step 5: Solve for x
    x = 1,390,991,616/16,975.50
  6. Step 6: Final answer
    x = 81,941.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.